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Finding the Third Proportional to 349,623 and 765,686

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Solution

The third proportional to 349,623 and 765,686 is: 1,676,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,623 : 765,686 = 765,686 : x
  2. Step 2: Convert to fraction form
    349,623/765,686 = 765,686/x
  3. Step 3: Cross multiply
    349,623x = 765,686 × 765,686
  4. Step 4: Simplify right side
    349,623x = 586,275,050,596
  5. Step 5: Solve for x
    x = 586,275,050,596/349,623
  6. Step 6: Final answer
    x = 1,676,877.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.